Devil-staircase behavior of dynamical invariants in chaotic scattering

  • Karol Życzkowskia, Ying-Cheng Laic
  • Published 2000

Abstract

A crisis in chaotic scattering is characterized by the merging of two or more nonattracting chaotic saddles. The fractal dimension of the resulting chaotic saddle increases through the crisis. We present a rigorous analysis for the behavior of dynamical invariants associated with chaotic scattering by utilizing a representative model system that captures… (More)

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